Solve the cubic equation. -41=5(x+11)^3-1

Question

Question

Solve the cubic equation. -41=5(x+11)^3-1

Answer 1

The solution to the equation is \(x = -12.89\).

Answer 2

## Step 1: First, we need to isolate the cubic term on one side of the equation. To do this, we add 1 to both sides of the equation. This gives us: ### \(-41 + 1 = 5(x+11)^3 \) ## Step 2: Next, we divide both sides of the equation by 5 to further isolate the cubic term. This gives us: ### \( \frac{-40}{5} = (x+11)^3 \) ## Step 3: Now, we take the cube root of both sides to solve for \(x+11\). This gives us: ### \(\sqrt[3]{-8} = x+11 \) ## Step 4: Finally, we subtract 11 from both sides to solve for \(x\). This gives us: ### \(x = \sqrt[3]{-8} - 11 \)

Question

Solve the cubic equation. -41=5(x+11)^3-1

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